1100312302122 has 256 divisors, whose sum is σ = 2883855882240. Its totient is φ = 307226649600.

The previous prime is 1100312302121. The next prime is 1100312302129. The reversal of 1100312302122 is 2212032130011.

1100312302122 is a `hidden beast` number, since 110 + 0 + 312 + 30 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100312302095 and 1100312302104.

It is not an unprimeable number, because it can be changed into a prime (1100312302121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 279904497 + ... + 279908427.

It is an arithmetic number, because the mean of its divisors is an integer number (11265062040).

Almost surely, 2^{1100312302122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100312302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441927941120).

1100312302122 is an abundant number, since it is smaller than the sum of its proper divisors (1783543580118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100312302122 is a wasteful number, since it uses less digits than its factorization.

1100312302122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100312302122 its reverse (2212032130011), we get a palindrome (3312344432133).

The spelling of 1100312302122 in words is "one trillion, one hundred billion, three hundred twelve million, three hundred two thousand, one hundred twenty-two".